# A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #15 #, #12 #, and #7 #, respectively. What is the rectangle's area?

##### 1 Answer

Apr 19, 2016

63 square units

#### Explanation:

The area of the rectangle attached to B

= 7BSince the triangle is right with hypotenuse A , we can use

#color(blue)" Pythagoras' theorem " " to calculate B "#

#rArr A^2 = B^2 + C^2 # and :

# B^2 = A^2 - C^2 = 15^2 - 12^2 = 81# now

# B^2 = 81 rArr B = sqrt81 = 9 # therefore area of rectangle = 7B =

# 7xx9 = 63" square units "#